%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV415+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:21:12 PM UTC 2026
% Result : Theorem 0.40s 0.27s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 19 unt; 4 def)
% Number of atoms : 99 ( 52 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 91 ( 42 ~; 38 |; 5 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 18 con; 0-3 aty)
% Number of variables : 171 ( 0 sgn 134 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax42) ).
fof(f54,axiom,
! [X0,X1] : i(triple(X0,create_slb,X1)) = create_pq,
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax',ax54) ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax',ax55) ).
fof(f63,axiom,
( ( ! [X0,X1,X2,X3] : i(triple(X0,create_slb,X2)) = i(triple(X1,create_slb,X3))
& ! [X4] :
( ! [X5,X6,X7,X8] : i(triple(X5,X4,X7)) = i(triple(X6,X4,X8))
=> ! [X9,X10,X11,X12,X13,X14] : i(triple(X9,insert_slb(X4,pair(X13,X14)),X11)) = i(triple(X10,insert_slb(X4,pair(X13,X14)),X12)) ) )
=> ! [X15,X16,X17,X18,X19] : i(triple(X15,X17,X18)) = i(triple(X16,X17,X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',big2_induction) ).
fof(f64,conjecture,
! [X0,X1,X2,X3] : i(insert_cpq(triple(X0,X1,X2),X3)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co2) ).
fof(f65,negated_conjecture,
~ ! [X0,X1,X2,X3] : i(insert_cpq(triple(X0,X1,X2),X3)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(negated_conjecture,[status(cth)],[f64]) ).
fof(f116,plain,
( ! [X15,X16,X17,X18,X19] : i(triple(X15,X17,X18)) = i(triple(X16,X17,X19))
| ? [X0,X1,X2,X3] : i(triple(X0,create_slb,X2)) != i(triple(X1,create_slb,X3))
| ? [X4] :
( ? [X9,X10,X11,X12,X13,X14] : i(triple(X9,insert_slb(X4,pair(X13,X14)),X11)) != i(triple(X10,insert_slb(X4,pair(X13,X14)),X12))
& ! [X5,X6,X7,X8] : i(triple(X5,X4,X7)) = i(triple(X6,X4,X8)) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f117,plain,
( ! [X15,X16,X17,X18,X19] : i(triple(X15,X17,X18)) = i(triple(X16,X17,X19))
| ? [X0,X1,X2,X3] : i(triple(X0,create_slb,X2)) != i(triple(X1,create_slb,X3))
| ? [X4] :
( ? [X9,X10,X11,X12,X13,X14] : i(triple(X9,insert_slb(X4,pair(X13,X14)),X11)) != i(triple(X10,insert_slb(X4,pair(X13,X14)),X12))
& ! [X5,X6,X7,X8] : i(triple(X5,X4,X7)) = i(triple(X6,X4,X8)) ) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
? [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) != i(insert_cpq(triple(X0,X1,X2),X3)),
inference(ennf_transformation,[],[f65]) ).
fof(f128,plain,
( ! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| ? [X5,X6,X7,X8] : i(triple(X5,create_slb,X7)) != i(triple(X6,create_slb,X8))
| ? [X9] :
( ? [X10,X11,X12,X13,X14,X15] : i(triple(X10,insert_slb(X9,pair(X14,X15)),X12)) != i(triple(X11,insert_slb(X9,pair(X14,X15)),X13))
& ! [X16,X17,X18,X19] : i(triple(X16,X9,X18)) = i(triple(X17,X9,X19)) ) ),
inference(rectify,[],[f117]) ).
fof(f129,plain,
( ! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(sK1,create_slb,sK3)) != i(triple(sK2,create_slb,sK4))
| ( i(triple(sK6,insert_slb(sK5,pair(sK10,sK11)),sK8)) != i(triple(sK7,insert_slb(sK5,pair(sK10,sK11)),sK9))
& ! [X16,X17,X18,X19] : i(triple(X16,sK5,X18)) = i(triple(X17,sK5,X19)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X5,sK1),skolemize(X6,sK2),skolemize(X7,sK3),skolemize(X8,sK4),skolemize(X9,sK5),skolemize(X10,sK6),skolemize(X11,sK7),skolemize(X12,sK8),skolemize(X13,sK9),skolemize(X14,sK10),skolemize(X15,sK11)],[f128]) ).
fof(f130,plain,
insert_pq(i(triple(sK12,sK13,sK14)),sK15) != i(insert_cpq(triple(sK12,sK13,sK14),sK15)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15)],[f118]) ).
fof(f182,plain,
! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
inference(cnf_transformation,[],[f42]) ).
fof(f194,plain,
! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(cnf_transformation,[],[f55]) ).
fof(f196,plain,
! [X2,X3,X0,X1,X18,X19,X16,X4,X17] :
( i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(sK1,create_slb,sK3)) != i(triple(sK2,create_slb,sK4))
| i(triple(X16,sK5,X18)) = i(triple(X17,sK5,X19)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f197,plain,
! [X2,X3,X0,X1,X4] :
( i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(sK1,create_slb,sK3)) != i(triple(sK2,create_slb,sK4))
| i(triple(sK6,insert_slb(sK5,pair(sK10,sK11)),sK8)) != i(triple(sK7,insert_slb(sK5,pair(sK10,sK11)),sK9)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f198,plain,
insert_pq(i(triple(sK12,sK13,sK14)),sK15) != i(insert_cpq(triple(sK12,sK13,sK14),sK15)),
inference(cnf_transformation,[],[f130]) ).
fof(f208,definition,
( spl16_1
<=> ! [X18,X16,X17,X19] : i(triple(X16,sK5,X18)) = i(triple(X17,sK5,X19)) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f209,plain,
( ! [X18,X19,X16,X17] : i(triple(X16,sK5,X18)) = i(triple(X17,sK5,X19))
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f211,definition,
( spl16_2
<=> i(triple(sK1,create_slb,sK3)) = i(triple(sK2,create_slb,sK4)) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f213,plain,
( i(triple(sK1,create_slb,sK3)) != i(triple(sK2,create_slb,sK4))
| spl16_2 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f215,definition,
( spl16_3
<=> ! [X4,X0,X3,X2,X1] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f216,plain,
( ! [X2,X3,X0,X1,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f217,plain,
( spl16_1
| ~ spl16_2
| spl16_3 ),
inference(avatar_split_clause,[],[f196,f215,f211,f208]) ).
fof(f219,definition,
( spl16_4
<=> i(triple(sK6,insert_slb(sK5,pair(sK10,sK11)),sK8)) = i(triple(sK7,insert_slb(sK5,pair(sK10,sK11)),sK9)) ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f221,plain,
( i(triple(sK6,insert_slb(sK5,pair(sK10,sK11)),sK8)) != i(triple(sK7,insert_slb(sK5,pair(sK10,sK11)),sK9))
| spl16_4 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f222,plain,
( ~ spl16_4
| ~ spl16_2
| spl16_3 ),
inference(avatar_split_clause,[],[f197,f215,f211,f219]) ).
fof(f299,plain,
( create_pq != i(triple(sK1,create_slb,sK3))
| spl16_2 ),
inference(forward_demodulation,[],[f213,f194]) ).
fof(f300,plain,
( $false
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f299,f194]) ).
fof(f301,plain,
spl16_2,
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f377,plain,
( ! [X2,X3,X0,X1,X4,X5] : i(insert_cpq(triple(X0,X1,X2),X3)) = i(triple(X4,insert_slb(X1,pair(X3,bottom)),X5))
| ~ spl16_3 ),
inference(superposition,[],[f216,f182]) ).
fof(f637,plain,
( ! [X2,X3,X0,X1,X4,X5] : i(insert_cpq(triple(X0,X1,X2),X3)) = insert_pq(i(triple(X4,X1,X5)),X3)
| ~ spl16_3 ),
inference(forward_demodulation,[],[f377,f195]) ).
fof(f646,plain,
( ! [X0,X1] : i(insert_cpq(triple(sK12,sK13,sK14),sK15)) != i(insert_cpq(triple(X0,sK13,X1),sK15))
| ~ spl16_3 ),
inference(superposition,[],[f198,f637]) ).
fof(f674,plain,
( $false
| ~ spl16_3 ),
inference(equality_resolution,[],[f646]) ).
fof(f675,plain,
~ spl16_3,
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f676,plain,
( i(triple(sK6,insert_slb(sK5,pair(sK10,sK11)),sK8)) != insert_pq(i(triple(sK7,sK5,sK9)),sK10)
| spl16_4 ),
inference(forward_demodulation,[],[f221,f195]) ).
fof(f677,plain,
( insert_pq(i(triple(sK7,sK5,sK9)),sK10) != insert_pq(i(triple(sK6,sK5,sK8)),sK10)
| spl16_4 ),
inference(forward_demodulation,[],[f676,f195]) ).
fof(f684,plain,
( ! [X0,X1] : insert_pq(i(triple(sK6,sK5,sK8)),sK10) != insert_pq(i(triple(X0,sK5,X1)),sK10)
| ~ spl16_1
| spl16_4 ),
inference(superposition,[],[f677,f209]) ).
fof(f690,plain,
( $false
| ~ spl16_1
| spl16_4 ),
inference(equality_resolution,[],[f684]) ).
fof(f691,plain,
( ~ spl16_1
| spl16_4 ),
inference(avatar_contradiction_clause,[],[f690]) ).
cnf(s1,plain,
( spl16_1
| ~ spl16_2
| spl16_3 ),
inference(sat_conversion,[],[f217]) ).
cnf(s2,plain,
( ~ spl16_2
| spl16_3
| ~ spl16_4 ),
inference(sat_conversion,[],[f222]) ).
cnf(s3,plain,
spl16_2,
inference(sat_conversion,[],[f301]) ).
cnf(s5,plain,
~ spl16_3,
inference(sat_conversion,[],[f675]) ).
cnf(s6,plain,
( ~ spl16_1
| spl16_4 ),
inference(sat_conversion,[],[f691]) ).
cnf(s7,plain,
~ spl16_4,
inference(rat,[],[s2,s5,s3]) ).
cnf(s8,plain,
~ spl16_1,
inference(rat,[],[s6,s7]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s5,s3,s8]) ).
fof(f692,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV415+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 10:51:45 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.27 % (3317782)Will run a generic schedule for satisfiability detection.
% 0.40/0.27 % (3317789)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2819058245:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.40/0.27 % (3317787)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3010932246_2999 on theBenchmark for (2999ds/0Mi)
% 0.40/0.27 % (3317792)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4091301772:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.40/0.27 % (3317790)dis+10_1_sil=32000:sp=arity:random_seed=4086738918:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.40/0.27 % (3317791)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2498889261:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.40/0.27 % (3317793)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=562305553:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.40/0.27 % (3317788)% WARNING: option uhcvi not known.
% 0.40/0.27 % (3317788)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=326997536:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.40/0.27 % TRYING [1]
% 0.40/0.27 % TRYING [2]
% 0.40/0.27 % TRYING [3]
% 0.40/0.27 % (3317790) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3317782-3317790"...
% 0.40/0.27 % (3317790)...printing done.
% 0.40/0.27 % (3317790)Refutation found. Thanks to Tanya!
% 0.40/0.27 % SZS status Theorem for theBenchmark
% 0.40/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.27 % (3317790)------------------------------
% 0.40/0.27 % (3317790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.27 % (3317790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.27 % (3317790)CaDiCaL version: 2.1.3
% 0.40/0.27 % (3317790)Termination reason: Refutation
% 0.40/0.27 % (3317790)Time elapsed: 0.022 s
% 0.40/0.27 % (3317790)Peak memory usage: 13 MB
% 0.40/0.27 % (3317790)Instructions burned: 32 (million)
% 0.40/0.27 % (3317782)Success in time 0.055 s
% 0.40/0.27 % Vampire exiting
%------------------------------------------------------------------------------